For the two cross sections shown in table below, choose the more efficient section to be used as a pinned-pinned column of length of 5 ft for the following dimensions; a. Square: H = 2 in b. Rectangle: H = 2 in, B = 4 in, h = 1.5 in, b = 3.5 in Justify your decision and calculate the actual slenderness ratio for the section that you recommended.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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For the two cross sections shown in table below, choose the more efficient
section to be used as a pinned-pinned column of length of 5 ft for the
following dimensions;
a. Square: H = 2 in
b. Rectangle: H = 2 in, B = 4 in, h = 1.5 in, b = 3.5 in
Justify your decision and calculate the actual slenderness ratio for the
section that you recommended.
(a) Square
A = H?
r = HN12
H
I = H*/12
H/2
S = H*16
(b) Hollow rectangle
t = (H- h)/2 uniform
A = BH – bh
BH - bh
I =
BH - bh
6H
HB - hb3
6B
r = 0.289 BH - bh
V BH – bh
X-
h.
+
-X H
%3D
12
b
H/2
ry = 0.289 HB³ - hb
V HB – hb
HB - hb3
12
yF
B/2
Transcribed Image Text:For the two cross sections shown in table below, choose the more efficient section to be used as a pinned-pinned column of length of 5 ft for the following dimensions; a. Square: H = 2 in b. Rectangle: H = 2 in, B = 4 in, h = 1.5 in, b = 3.5 in Justify your decision and calculate the actual slenderness ratio for the section that you recommended. (a) Square A = H? r = HN12 H I = H*/12 H/2 S = H*16 (b) Hollow rectangle t = (H- h)/2 uniform A = BH – bh BH - bh I = BH - bh 6H HB - hb3 6B r = 0.289 BH - bh V BH – bh X- h. + -X H %3D 12 b H/2 ry = 0.289 HB³ - hb V HB – hb HB - hb3 12 yF B/2
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